Update release process doc for auto-docs push

[sjberman]

The docs workflow now supports automatically deploying docs. This updates the release process doc explaining how to set that up.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 89.21%. Comparing base (4e9fa00) to head (36f7aaa).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #2509   +/-   ##
=======================================
  Coverage   89.21%   89.21%           
=======================================
  Files         100      100           
  Lines        7539     7539           
  Branches       50       50           
=======================================
  Hits         6726     6726           
  Misses        756      756           
  Partials       57       57           

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